Question

if A.P,2 5/2,3 7/2 ____ common diffrence

Answer 1

Hey user here is your answer :-

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d1 = 2 5/2 = 9/2
d2 = 3 7/2 = 13/2

common difference = d2 - d1
= 4/2

Hence common difference is 4/2

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Answer 2

Given,

A sequence  2, 5/2, 7/2, ____.

To find,

The common difference of the sequence.

Solution,

• The term a, a + d, a + 2d, a + 3d..., ..., are in Arithmetic Progression because there is a common difference of d between them.

• We can find the common difference by -

    (a + 2d) - (a + d) = a + 2d - a - d = d  ,

     (a + d) - (a) = a + d - a = d

• Similarly common difference in sequence   2, 5/2, 7/2, ____ can be calculated by -

     ⇒  (5/2 - 2)  = 1/2,

    ⇒  (3 - 5/2) = 1/2,

     ⇒ ( 7/2) - 3 = 1/2.

• As we can see that the common difference (d) is always the same i.e. 1/2,

Hence, the common difference of the terms  2, 5/2, 7/2, ___ is 1/2.